Geodesic
On the Negative Index Theorem for the Linearized Non-Linear Schrödinger Problem
Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 737-745

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DOI

A new and elementary proof is given of the recent result of Cuccagna, Pelinovsky, and Vougalter based on the variational principle for the quadratic form of a self-adjoint operator. It is the negative index theorem for a linearized $\text{NLS}$ operator in three dimensions.
DOI : 10.4153/CMB-2010-062-4
Mots-clés : 35Q55, 81Q10 
Vougalter, Vitali. On the Negative Index Theorem for the Linearized Non-Linear Schrödinger Problem. Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 737-745. doi: 10.4153/CMB-2010-062-4
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     author = {Vougalter, Vitali},
     title = {On the {Negative} {Index} {Theorem} for the {Linearized} {Non-Linear} {Schr\"odinger} {Problem}},
     journal = {Canadian mathematical bulletin},
     pages = {737--745},
     year = {2010},
     volume = {53},
     number = {4},
     doi = {10.4153/CMB-2010-062-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-062-4/}
}
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